On bilinear forms of height 2 and degree 1 or 2 in characteristic 2
type: Item
instance of: scholarly article
title: On bilinear forms of height 2 and degree 1 or 2 in characteristic 2
zbMATH Open document ID: 1225.11044
author: Ahmed Laghribi
author: Ulf Rehmann
published in: Journal of Algebra
publication date: 2009-09-10T00:00:00Z
review text: The paper under review is a continuation of the work done by the first author [Pac. J. Math. 232, No. 1, 207--232 (2007; Zbl 1214.11044)] on the classification of symmetric bilinear forms of height 2 and degree \(d=1\) or \(2\) under fields of characteristic 2. Also, in that paper the notion of a good bilinear form was defined. In the paper under review the authors complete the classification of bilinear forms which are good of height 2 and degree 1 or 2. The results obtained in this paper allow the authors also to classify all bilinear forms which are not good and are of height and degree 2.
reviewed by: Andrzej Sładek
Mathematics Subject Classification ID: 11E04
Mathematics Subject Classification ID: 11E81
zbMATH DE Number: 5602634
zbMATH Keywords: bilinear forms
zbMATH Keywords: quadratic forms
zbMATH Keywords: function fields of quadrics
zbMATH Keywords: norm degree
zbMATH Keywords: standard splitting theory
MaRDI profile type: Publication
full work available at URL: j.jalgebra.2009.02.022
OpenAlex ID: W1995401117
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DOI: 10.1016/J.JALGEBRA.2009.02.022
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description: scientific article; zbMATH DE number 5602634